What is the Greatest Common Factor of 43566 and 43574?

Greatest common factor (GCF) of 43566 and 43574 is 2.

GCF(43566,43574) = 2

We will now calculate the prime factors of 43566 and 43574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43566 and 43574.

How to find the GCF of 43566 and 43574?

We will first find the prime factorization of 43566 and 43574. After we will calculate the factors of 43566 and 43574 and find the biggest common factor number .

Step-1: Prime Factorization of 43566

Prime factors of 43566 are 2, 3, 53, 137. Prime factorization of 43566 in exponential form is:

43566 = 2¹ × 3¹ × 53¹ × 137¹

Step-2: Prime Factorization of 43574

Prime factors of 43574 are 2, 21787. Prime factorization of 43574 in exponential form is:

43574 = 2¹ × 21787¹

Step-3: Factors of 43566

List of positive integer factors of 43566 that divides 43566 without a remainder.

1, 2, 3, 6, 53, 106, 137, 159, 274, 318, 411, 822, 7261, 14522, 21783

Step-4: Factors of 43574

List of positive integer factors of 43574 that divides 43566 without a remainder.

1, 2, 21787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43566 and 43574. The biggest common factor number is the GCF number.
So the greatest common factor 43566 and 43574 is 2.

Also check out the Least Common Multiple of 43566 and 43574